Square+Roots

So you ask what are Square roots That is a good question and it’s actually simpilar then it looks but can’t be solved by a hand. Wait you can’t solve it by hand wouldn’t that make it harder? Well yes but it’s really quite simple. Starting to get it? Ok so that's all simple right what about negative numbers? That's the easy part the square root of a negative number is always i witch is also equal to -1. Oh now that's much easier. So from here the only other thing you need to know is the other way of writing square roots which is:
 * √y is the same as saying something multiplied by it self is equal to y
 * so √(x * x) is the same as √y and it can also written as √(x²)
 * so now knowing y is x² and we can find x and then the square would cancel out the square root( √y = √(x*x) or √x² = x
 * Starting to rap your mind around this heres and example
 * √81 so we know a number multiplied by it self will get 81 what are they?
 * 9 multiples by it self gets 81. 81 = 9²
 * so now we plug that in for 81
 * √9²
 * now because squaring cancels out square roots we are left with 9 and that is the square root of 81.

math \sqrt{y} = y ^{\frac{1}{2} math Not to hard.

Here's some problems to practices. Remember order of operations for the hard ones. easy √144 //√25 medium √20 √12 hard √(25*2) √(100/2)//

//5 is the square root because sqaure rooting the problem cancels out squaring which leaves us with 5.//
__Stefen and Rob__ pg.394 -3 -3 __3√x__=__12__ 3 3 √x = 4 x = 4^2 x= 16
 * 1) 1) 3√x+3=15

=__**Roots**__=

__FX-70__ Consider the examples below and check them in your head or on your calculator.
9²=81 and ²√81=9 8³=512 and ³√512=8 7⁵=16807 and ⁵√16897=7 Use these ideas to compute the following without a calculator.

a) ²√49= b)⁴√81= c)⁴√10000= d)⁵√-32=

a) ²√49=7 7x7

b)⁴√81= 3 3x27 3x(3x9) 3x(3x(3x3))

c)⁴√10000= 10 10x1000 10x(10x100) 10x(10x(10x10))

d) ⁵√-32= NOT POSSIBLE ! you cannot take the fifth, or any root for that matter, of a negative number.

Source: http://www.cpm.org/